What is the Least Common Multiple of 74575 and 74591?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74575 and 74591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74575 and 74591, than apply into the LCM equation.

GCF(74575,74591) = 1
LCM(74575,74591) = ( 74575 × 74591) / 1
LCM(74575,74591) = 5562623825 / 1
LCM(74575,74591) = 5562623825

Least Common Multiple (LCM) of 74575 and 74591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74575 and 74591. First we will calculate the prime factors of 74575 and 74591.

Prime Factorization of 74575

Prime Factorization of 74591

Now multiplying the highest exponent prime factors to calculate the LCM of 74575 and 74591.

LCM(74575,74591) = 5² × 19¹ × 157¹ × 11¹ × 6781¹
LCM(74575,74591) = 5562623825